Factorizations into irreducible numerical semigroups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909353557098496 |
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| author | Garcia-Sanchez, Pedro A. |
| author_facet | Garcia-Sanchez, Pedro A. |
| contents | Every numerical semigroup can be expressed as an intersection of irreducible numerical semigroups. We show that the unions of sets of lengths of factorizations of numerical semigroups into irreducible numerical semigroups are all equal to $\mathbb{N}_{\ge 2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13729 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Factorizations into irreducible numerical semigroups Garcia-Sanchez, Pedro A. Commutative Algebra Combinatorics 20M14 Every numerical semigroup can be expressed as an intersection of irreducible numerical semigroups. We show that the unions of sets of lengths of factorizations of numerical semigroups into irreducible numerical semigroups are all equal to $\mathbb{N}_{\ge 2}$. |
| title | Factorizations into irreducible numerical semigroups |
| topic | Commutative Algebra Combinatorics 20M14 |
| url | https://arxiv.org/abs/2410.13729 |